Q12 of 40 Page 1

If the equations kx - 2y = 3 and 3x + y = 5 represent two intersecting lines at unique point, then the value of k is___________.

OR


If quadratic equation 3x2 – 4x + k = 0 has equal roots, then the value of k is ________.


Kx -2y – 3 = 0

3x + y – 5 = 0


For unique solution:



Therefore, the value of k can be any number expect 6.


OR


3x2 – 4x + k = 0


a = 3, b = -4, c = k


for equal roots,


D= b2 - 4ac = 0


(-42) – 4 (3) (k) = 0


16 -12k = 0


K= 16/12 = 4/3


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